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Damm [24]
3 years ago
11

A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers

generated for single digit numbers
Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

9/50

Step-by-step explanation:

There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:

Probability = number of favorable outcomes /total number of outcomes

Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50

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(24.7C) The area of a rectangle is equal to x2 +
ss7ja [257]

Answer:

x + 5

Step-by-step explanation:

A = LW

W = A/L

W = (x^2 + 16x + 55)/(x + 11)

W = [(x + 11)(x + 5)]/(x + 11)

W = x + 5

3 0
3 years ago
The graph of f is given in the figure to the right. Let ​A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis
Tpy6a [65]

Answer:

A(4)=-4\pi

A(8)=-4\pi +8

A(12)=-4\pi +16

A(14)=-4\pi +15

Step-by-step explanation:

we are given

A(x)=\int\limits^x_0 f{x} \, dx

Calculation of A(4):

we can plug x=4

A(4)=\int\limits^4_0 f{x} \, dx

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

A(4)=-\frac{1}{4}\times \pi \times (4)^2

A(4)=-4\pi

Calculation of A(8):

we can plug x=8

A(8)=\int\limits^8_0 f{x} \, dx

we can break into two parts

A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx

now, we can find area and then combine them

A(8)=-4\pi +\frac{1}{2}\times 4\times 4

A(8)=-4\pi +8

Calculation of A(12):

we can plug x=12

A(12)=\int\limits^12_0 f{x} \, dx

we can break into two parts

A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx

now, we can find area and then combine them

A(12)=-4\pi +\frac{1}{2}\times 8\times 4

A(12)=-4\pi +16

Calculation of A(14):

we can plug x=14

A(14)=\int\limits^14_0 f{x} \, dx

we can break into two parts

A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx

now, we can find area and then combine them

A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2

A(14)=-4\pi +16-1

A(14)=-4\pi +15

8 0
3 years ago
Solve x^4 - 3x^2 +2 = 0 using substitution.
Leona [35]

Answer:

x = ± 1 , x = ± \sqrt{2}

Step-by-step explanation:

Let u = x² , then

x^{4} - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

or

x² = 2 ( take square root of both sides )

x = ± \sqrt{2}

4 0
2 years ago
Need help with math word problem points and brainlest
kolezko [41]

Answer:

i think it might be C

Step-by-step explanation:

8 0
3 years ago
Lisa has a rope that measures 9 1 4 feet in length. She will cut the rope into pieces that are each 3 4 foot long. How many full
Harman [31]

Answer:

Lisa can cut the rope into 12 pieces with 1/4 foot remaining.

I found the answer on USATestprep.

3 0
3 years ago
Read 2 more answers
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